| The Diophantine equation(xn-1)/(x-1)=yq has been studied almost one hundred years and outlived its famous cousin xp-yq = 1 raising a wide variety of technique to solve it.In this paper we cover the main axis of study used nowadays and provide an overview of some of the most important solved cases and condition that a potential unknown solution(x,y,n,q)should satisfy. |
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